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Finding the Fourth Proportional to 664.52, 993.61 and 606.43

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Solution

The fourth proportional to 664.52, 993.61 and 606.43 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.52 : 993.61 = 606.43 : x
  2. Step 2: Convert to fraction form
    664.52/993.61 = 606.43/x
  3. Step 3: Cross multiply
    664.52x = 993.61 × 606.43
  4. Step 4: Simplify right side
    664.52x = 602,549.94
  5. Step 5: Solve for x
    x = 602,549.94/664.52
  6. Step 6: Final answer
    x = 906.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.